205128672 has 96 divisors (see below), whose sum is σ = 617766912. Its totient is φ = 58381824.

The previous prime is 205128667. The next prime is 205128673. The reversal of 205128672 is 276821502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205128673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256978 + ... + 257774.

It is an arithmetic number, because the mean of its divisors is an integer number (6435072).

Almost surely, 2^205128672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205128672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308883456).

205128672 is an abundant number, since it is smaller than the sum of its proper divisors (412638240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205128672 is a wasteful number, since it uses less digits than its factorization.

205128672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 205128672 is about 14322.3137795539. The cubic root of 205128672 is about 589.7601936477.

The spelling of 205128672 in words is "two hundred five million, one hundred twenty-eight thousand, six hundred seventy-two".